Search a number
-
+
23129457792 = 273753179907
BaseRepresentation
bin10101100010100111…
…111000010010000000
32012200221011012021220
4111202213320102000
5334332120122132
614343040315040
71446112101360
oct254247702200
965627135256
1023129457792
119899a80a81
124596012a80
132247b47bcc
141195b8a9a0
15905882a2c
hex5629f8480

23129457792 has 256 divisors, whose sum is σ = 72018201600. Its totient is φ = 6440398848.

The previous prime is 23129457737. The next prime is 23129457893. The reversal of 23129457792 is 29775492132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25500603 + ... + 25501509.

It is an arithmetic number, because the mean of its divisors is an integer number (281321100).

Almost surely, 223129457792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23129457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009100800).

23129457792 is an abundant number, since it is smaller than the sum of its proper divisors (48888743808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23129457792 is a wasteful number, since it uses less digits than its factorization.

23129457792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1151 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The spelling of 23129457792 in words is "twenty-three billion, one hundred twenty-nine million, four hundred fifty-seven thousand, seven hundred ninety-two".